To find this you would divide 868cupcakes by 31boxes witches is 28cupcakes in each box
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The given statement is false as using stratified sampling guarantees that members of each group within a population will be sampled.
As given in the question,
Systematic sampling guarantees that members of each group within a population will be sampled is a false statement.
- Systematic sampling represents the probability of sampling method based on the group formed at regular intervals.
- Stratified sampling guarantees each subgroup within the population receives proper representation.
Therefore, the given statement is false as using stratified sampling guarantees that members of each group within a population will be sampled.
Learn more about sampling here
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Answer:
A) y=-x+8
Step-by-step explanation:
Parallel lines have the same slope. So, next you need to find the y-intercept (b) of the line. (see attached work)
calculate the slopes of the lines using the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
(x₁, y₁ ) = A(- 4, - 1) and (x₂, y₂ ) = B(-1, 2 )
=
=
= 1
(x₁, y₁ ) = B(-1, 2) and (x₂, y₂ ) = (5, 1)
=
= - 
(x₁, y₁) = C(5, 1 ) and (x₂, y₂ ) = D(1, - 3)
=
=
= 1
(x₁, y₁) = A(- 4, - 1) and (x₂, y₂) = D(1, - 3 )
=
= - 
Quadrilateral ABCD is not a parallelogram since only one pair of opposite sides is parallel , that is AB and CD
<span>y + -13 = 4(x + -2)
Reorder the terms:
-13 + y = 4(x + -2)
Reorder the terms:
-13 + y = 4(-2 + x)
-13 + y = (-2 * 4 + x * 4)
-13 + y = (-8 + 4x)
Solving
-13 + y = -8 + 4x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '13' to each side of the equation.
-13 + 13 + y = -8 + 13 + 4x
Combine like terms: -13 + 13 = 0
0 + y = -8 + 13 + 4x
y = -8 + 13 + 4x
Combine like terms: -8 + 13 = 5
y = 5 + 4x
Simplifying
y = 5 + 4x</span>